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- Which part Given or Prove of the proof depends upon the a hypothesis of theorem? b conclusion of theorem?In a study with a non-directional hypothesis… A) There are two rejection regions that have the same area that adds up to the alpha level. B) There is a single rejection region with an area that corresponds to the alpha level. C) There are two rejection regions that have the same area that adds up to the p-value. D) There is a single rejection region with an area that corresponds to the p-value.compute for the z or t value and decide whether to retain or reject the null hypothesis. provide an explanation for the decision
- An instructor has given a short quiz consisting of nvo parts. For a randomly selected student, let X= the number of points earned on the first part and Y= the number of points earned on the second part. Suppose that thejoint pmf of X and Yis given in the accompanying table. a. If the score recorded in the grade book is the total number of points earned on the nvo parts,what isthe expected recorded score E(X + Y)? b. If the maximum of the two scores is recorded,what isthe expected recorded score? A random variable is normally distributed with a mean of m =50 and a standard deviation of <T =5. Sketch a normal curve for the probability density Label the horizontal ax. is with values of 35, 40, 45, 50, 55, 60, and 65. Figure 6.4 shows that the normal curve almost touches the horizontal axis at three standard deviations below and at three standard deviations above the mean (in this case at 35 and 65). What is the probability…A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 59 of 100 individuals prefer Brand A. Complete parts a through c.In rolling a fair die once, what is theprobability of rolling a 2 or an oddnumber? show solution
- give the rejection region.A school Psychologist is interested in the effect of violent television programs on a child's agression depending on if the show is a cartoon or not. Eighty children were recruited and were divided into equal groups. Half of the children watched a violent television program while the other half watched a non- violent program. Half of the children watched a cartoon while the other half watched a show that was not a cartoon. The children were then placed in a small group and the researcher measured the level of agressiveness of each child. A) z- test B) t - test C) test independent samples D) T - TEST RELATED SAMPLES E) ANOVA F) FACTORIAL ANOVA G) repeated measures ANOVA H) pearson correlation i) chi squareMakers of generic drugs are required to show that their generic drugs do not differ significantly from the “reference” or brand name drugs that they imitate. One aspect in which the generic drugs might differ is their extent of absorption in the blood. Twelve subjects were available for the study. Six were randomly selected to receive the generic drug first and then, after a washout period, receive the “reference” drug. The remaining six received the “reference” drug first, followed by the generic drug after the washout period. Assume that all conditions are met. The mean of the differences was 1.33 and the standard deviation of those differences was 2.90. What is the test statistic for this procedure? Group of answer choices 2.35 1.59 1.90 5.50
- Let X and Y be two random variables and let r, s, t, and u be real numbers. a. Show that Cov(X+s, Y+u) = Cov(X,Y)b. Show that Cov(rX, tY) = rtCov(X,Y)c. Show that Cov(rX +s, tY + u) = rtCov(X,Y)Suppose that 15% of a Canadian wholesaler’s food products are gluten-free. Furthermore, 70% of its products are peanut-free. Assume that the use of nuts and gluten-containing products are independent. 1. (a) What percentage of this wholesaler’s products contain at least one of the two allergens? (b) What percentage of this wholesaler’s products are allergen-free? 2. What percentage of this wholesaler’s products contain peanuts but no gluten?1. Write the null and alternative hypthesis 2. Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. 3. Include the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write the appropriate conclusion.